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Finding the Third Proportional to 16,467 and 23,193

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Solution

The third proportional to 16,467 and 23,193 is: 32,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 23,193 = 23,193 : x
  2. Step 2: Convert to fraction form
    16,467/23,193 = 23,193/x
  3. Step 3: Cross multiply
    16,467x = 23,193 × 23,193
  4. Step 4: Simplify right side
    16,467x = 537,915,249
  5. Step 5: Solve for x
    x = 537,915,249/16,467
  6. Step 6: Final answer
    x = 32,666.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.